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Calculus1 10 Online
OpenStudy (anonymous):

Revenue???

OpenStudy (anonymous):

sales (in the appropriate currency)

OpenStudy (anonymous):

The political consulting firm of Smear,Smarmy, and Smug has found that their revenues during a presidential campaign come in at a rate of

OpenStudy (anonymous):

R'(t)=12t+60

OpenStudy (anonymous):

thousand dollars per day, t days after the start of the campaign (at the end of the second party convention). How much revenue do they take in during the first 10 days of the campaign?

OpenStudy (anonymous):

Ah. This derivative function is linear, so the difference between successive terms is constant. Use the formula for the sum of the first n terms of an arithmetic series: \[a _{n} = (a _{1} + a _{n})*( n/2). \]

OpenStudy (anonymous):

whats a1 and an

OpenStudy (anonymous):

Substitute "1" for "t" in the expression to get \[a _{1} \]. Then, substitute "10" in the expression to get \[a _{10} \], where n = 10. Then, plug these two numbers in the formula I gave you. The result is the sum of the first 10 numbers in the series, that is, the sum of the revenues raised in each of the first 10 days of the campaign.

OpenStudy (anonymous):

55

OpenStudy (anonymous):

wait its 410

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